A speed is recorded as 60 km/h with an error of 2 km/h. What is the percentage e

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Question: A speed is recorded as 60 km/h with an error of 2 km/h. What is the percentage error?

Options:

Correct Answer: 3.33%

Solution:

Percentage error = (Absolute error / Measured value) * 100 = (2 / 60) * 100 = 3.33%

A speed is recorded as 60 km/h with an error of 2 km/h. What is the percentage error?

A speed is recorded as 60 km/h with an error of 2 km/h. What is the percentage error?

Step 1: Identify the measured value, which is 60 km/h.
Step 2: Identify the absolute error, which is 2 km/h.
Step 3: Use the formula for percentage error: Percentage error = (Absolute error / Measured value) * 100.
Step 4: Substitute the values into the formula: Percentage error = (2 / 60) * 100.
Step 5: Calculate the division: 2 divided by 60 equals 0.0333.
Step 6: Multiply the result by 100 to find the percentage: 0.0333 * 100 equals 3.33.
Step 7: Conclude that the percentage error is 3.33%.

Percentage Error – Percentage error is a measure of how inaccurate a measurement is, expressed as a percentage of the true value.
Absolute Error – Absolute error is the difference between the measured value and the true value.
Measurement Units – Understanding the units of measurement (e.g., km/h) is crucial for interpreting speed and error.